Rabies Vaccine Clinic for Your Pet Upcoming Clinic for Rabies Vaccine for Pets — see if there’s a rabies vaccine clinic for your pet in your area. Saturday, May 11, in Pierpont at the Pierpont Fire Hall: The rabies clinic is only for dog or cats. Saturday, June 1, in Orwell at the Orwell Community Park: The rabies clinic is for dogs and cats only.